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Finding the Fourth Proportional to 53,508.86, 73,842.03 and 30,847.75

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Solution

The fourth proportional to 53,508.86, 73,842.03 and 30,847.75 is: 42,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,508.86 : 73,842.03 = 30,847.75 : x
  2. Step 2: Convert to fraction form
    53,508.86/73,842.03 = 30,847.75/x
  3. Step 3: Cross multiply
    53,508.86x = 73,842.03 × 30,847.75
  4. Step 4: Simplify right side
    53,508.86x = 2,277,860,296.33
  5. Step 5: Solve for x
    x = 2,277,860,296.33/53,508.86
  6. Step 6: Final answer
    x = 42,569.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.